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On the convergence of multi-level Hermite-Padé approximants
Published 21 Jun 2021 in math.CA | (2106.11370v1)
Abstract: In the present paper we prove a Stieltjes type theorem on the convergence of a sequence of rational functions associated with a mixed type Hermite-Pad\'e approximation problem of a Nikishin system of functions and analyze the ratio asymptotic of the corresponding Hermite-Pad\'e polynomials.
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